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| | Markov Chains in Theoretical Computer Science, Spring 2002 (Site not responding. Last check: ) |
 | | Definition of the chain, analysis that it converges rapidly for large enough $k$, algorithm for approximating the number of $k-$colorings of a graph. |
 | | Eigenvectors, the symmetric version of a Markov chain, the connection between spectral gap and rapid mixing, expansion, expanders, using expanders to reduce the number of random bits used to amplify probability of a BPP algorithm, The notion of conductance of a graph. |
 | | Canonical paths defined, simple examples, chain on all matchings in a graph with weight proportional to number of edges in matchings; Proof that is converges in time polynomial is lambda, 1/epsilon and n. |
| www.cs.huji.ac.il /~doria/markovchains.huji2002.html (1457 words) |
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